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Finding the Fourth Proportional to 8,473.50, 11,693.46 and 4,747.50

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Solution

The fourth proportional to 8,473.50, 11,693.46 and 4,747.50 is: 6,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.50 : 11,693.46 = 4,747.50 : x
  2. Step 2: Convert to fraction form
    8,473.50/11,693.46 = 4,747.50/x
  3. Step 3: Cross multiply
    8,473.50x = 11,693.46 × 4,747.50
  4. Step 4: Simplify right side
    8,473.50x = 55,514,701.35
  5. Step 5: Solve for x
    x = 55,514,701.35/8,473.50
  6. Step 6: Final answer
    x = 6,551.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.